If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 32 = 16t2 + 2t Reorder the terms: 32 = 2t + 16t2 Solving 32 = 2t + 16t2 Solving for variable 't'. Reorder the terms: 32 + -2t + -16t2 = 2t + -2t + 16t2 + -16t2 Combine like terms: 2t + -2t = 0 32 + -2t + -16t2 = 0 + 16t2 + -16t2 32 + -2t + -16t2 = 16t2 + -16t2 Combine like terms: 16t2 + -16t2 = 0 32 + -2t + -16t2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(16 + -1t + -8t2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(16 + -1t + -8t2)' equal to zero and attempt to solve: Simplifying 16 + -1t + -8t2 = 0 Solving 16 + -1t + -8t2 = 0 Begin completing the square. Divide all terms by -8 the coefficient of the squared term: Divide each side by '-8'. -2 + 0.125t + t2 = 0 Move the constant term to the right: Add '2' to each side of the equation. -2 + 0.125t + 2 + t2 = 0 + 2 Reorder the terms: -2 + 2 + 0.125t + t2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 0.125t + t2 = 0 + 2 0.125t + t2 = 0 + 2 Combine like terms: 0 + 2 = 2 0.125t + t2 = 2 The t term is 0.125t. Take half its coefficient (0.0625). Square it (0.00390625) and add it to both sides. Add '0.00390625' to each side of the equation. 0.125t + 0.00390625 + t2 = 2 + 0.00390625 Reorder the terms: 0.00390625 + 0.125t + t2 = 2 + 0.00390625 Combine like terms: 2 + 0.00390625 = 2.00390625 0.00390625 + 0.125t + t2 = 2.00390625 Factor a perfect square on the left side: (t + 0.0625)(t + 0.0625) = 2.00390625 Calculate the square root of the right side: 1.415593957 Break this problem into two subproblems by setting (t + 0.0625) equal to 1.415593957 and -1.415593957.Subproblem 1
t + 0.0625 = 1.415593957 Simplifying t + 0.0625 = 1.415593957 Reorder the terms: 0.0625 + t = 1.415593957 Solving 0.0625 + t = 1.415593957 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.0625' to each side of the equation. 0.0625 + -0.0625 + t = 1.415593957 + -0.0625 Combine like terms: 0.0625 + -0.0625 = 0.0000 0.0000 + t = 1.415593957 + -0.0625 t = 1.415593957 + -0.0625 Combine like terms: 1.415593957 + -0.0625 = 1.353093957 t = 1.353093957 Simplifying t = 1.353093957Subproblem 2
t + 0.0625 = -1.415593957 Simplifying t + 0.0625 = -1.415593957 Reorder the terms: 0.0625 + t = -1.415593957 Solving 0.0625 + t = -1.415593957 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.0625' to each side of the equation. 0.0625 + -0.0625 + t = -1.415593957 + -0.0625 Combine like terms: 0.0625 + -0.0625 = 0.0000 0.0000 + t = -1.415593957 + -0.0625 t = -1.415593957 + -0.0625 Combine like terms: -1.415593957 + -0.0625 = -1.478093957 t = -1.478093957 Simplifying t = -1.478093957Solution
The solution to the problem is based on the solutions from the subproblems. t = {1.353093957, -1.478093957}Solution
t = {1.353093957, -1.478093957}
| 4x^2-31x+63=0 | | 8n-11.35=1.2n+17.21 | | 4x-7y=-14 | | -12y=3+x | | 4x^2-21x+5=-8x+2 | | 42+-9x=36x+3 | | 12-2n=8 | | 3(2h-5)+4(3h+2)=11 | | 2|x-1|-4=-2 | | (-2+3)+5=-2+(3+5) | | -34=13x | | 6a+9a-b+3=45 | | 21+3x=x+1 | | 4x^2+20x-9=0 | | 2.1k-50=7.3k-3.2 | | 2x-5(-3)=10 | | 60+x+140+60+x=180 | | 6-10x=72-24x | | 2(x-5)=2x-5 | | 2px-3y+py-6x= | | 2+8(3-4x)= | | -3c+8=17-8c | | -1-3y=3 | | 8-4x=(x+5) | | 3=1/2+11 | | 8k+8(4k-5)= | | 4.2d+-6.8=14.2 | | 4x^2-15x+8=-8x+5 | | 23.1+9.1x=-4.2 | | 5(m+5)-6=7(m+3) | | 5(x-14)=3(12-6x) | | 2(3x-5)=2(8x+15) |